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प्रश्न
Find the value of the following expression:
cos2 45° + sin2 60° + sin2 30°
योग
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उत्तर
Given: `cos 45^circ = sqrt(2)/2, sin 60^circ = sqrt(3)/2, sin 30^circ = 1/2`.
⇒ `cos^2 45^circ = (sqrt(2)/2)^2`
= `2/4`
= `1/2`
`sin^2 60^circ = (sqrt(3)/2)^2`
= `3/4`
`sin^2 30^circ = (1/2)^2`
= `1/4`
Sum = `1/2 + 3/4 + 1/4`
= `1/2 + 1`
= `3/2`
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